Exploring The Unknown: Electrophysiological And Behavioural Measures Of Visuospatial Learning,
2015
Trinity College Dublin
Exploring The Unknown: Electrophysiological And Behavioural Measures Of Visuospatial Learning, Brendan Quinlivan, John Butler, Abdur R. Ridwan, Ines Beiser, Laura Williams, Eavan Mcgovern, Sean O'Riordan, Michael Hutchinson, Richard B. Reilly
Articles
Visuospatial memory describes our ability to temporarily store and manipulate visual and spatial information, and is employed for a wide variety of complex cognitive tasks. Here, a visuospatial learning task requiring fine motor control is employed to investigate visuospatial learning in a group of typically developing adults. Electrophysiological and behavioural data are collected during a target location task under two experimental conditions: Target Learning and Target Cued. Movement times (MTs) are employed as a behavioural metric of performance, while dynamic P3b amplitudes and power in the alpha band (approximately 10 Hz) are explored as electrophysiological metrics during visuospatial learning. Results …
MIT
The Catalan Case Of Armstrong's Conjecture On Simultaneous Core Partitions Read More: Https://Epubs.Siam.Org/Doi/10.1137/130950318, Richard Stanley, Fabrizio Zanello
Department of Mathematical Sciences Publications
A beautiful recent conjecture of D. Armstrong predicts the average size of a partition that is simultaneously an s-core and a t-core, where s and t are coprime. Our goal is to prove this conjecture when t = s + 1. These simultaneous (s, s + 1)-core partitions, which are enumerated by Catalan numbers, have average size ((s+1)/3)/2.
Transpose Symmetry Groups Of Noninvertible Polynomials,
2015
Brigham Young University
Transpose Symmetry Groups Of Noninvertible Polynomials, Nathan Cordner, Dr. Tyler Jarvis
Journal of Undergraduate Research
Introduction Mirror symmetry is an area of mathematical research that stems from theoretical physics, particularly from string theory. Solutions of problems in mirror symmetry yield not only interesting mathematical results, but also have important theoretical implications for high energy particle physics.
Essays On Air Pollution, Global Warming And Agriculture Productivity.,
2015
Indian Statistical Institute
Essays On Air Pollution, Global Warming And Agriculture Productivity., Ridhima Gupta Dr.
Doctoral Theses
This dissertation consists of three chapters, each of which deals with a particular aspect of environmental policy. The first chapter focuses on the determinants of open-field burning of rice-residue with the aim of analysing possibilities for its regulation. Open field burning is the second-largest contributor to black carbon in South Asia, the second most important greenhouse agent after carbon dioxide. Thus, dealing with the problem of burning of rice residue will tackle a significant proportion of the black carbon emissions released into the atmosphere. The third chapter proposes a new approach for estimating the contribution of agricultural fires to atmospheric …
Byu Computational Number Theory Research Group David Cardon, Darrin Doud, Paul Jenkins, And Pace Nielsen,
2015
Brigham Young University
Byu Computational Number Theory Research Group David Cardon, Darrin Doud, Paul Jenkins, And Pace Nielsen, Pace Nielsen
Journal of Undergraduate Research
In the years 2013-2014 we held a weekly seminar in which every supported student gave presentations at least once (but usually twice or more) per semester. This gave the students opportunities to learn and develop presentations skills, which will help them later in their careers. It also gave them opportunities to work together in a tight-knit group setting. This learning was augmented by regular, one-on-one weekly meetings with their advisors. Many of the students wrote professional research papers published in peer-reviewed journals, presented their research at conferences, and many won prestigious university and even national awards.
Leveraging Mosts (Mathematically Significant Pedagogical Opportunities To Build On Student Thinking),
2015
Brigham Young University
Leveraging Mosts (Mathematically Significant Pedagogical Opportunities To Build On Student Thinking), Keith R. Leatham, Blake E. Peterson
Journal of Undergraduate Research
Phase 1, Goal 1: Purposefully create a data set of videotapes and transcripts of secondary classroom mathematics discourse that reflects the student mathematical thinking that can occur in diverse classrooms.
Recent Advances In Compressed Sensing: Discrete Uncertainty Principles And Fast Hyperspectral Imaging,
2015
Air Force Institute of Technology
Recent Advances In Compressed Sensing: Discrete Uncertainty Principles And Fast Hyperspectral Imaging, Megan E. Lewis
Theses and Dissertations
Compressed sensing is an important field with continuing advances in theory and applications. This thesis provides contributions to both theory and application. Much of the theory behind compressed sensing is based on uncertainty principles, which state that a signal cannot be concentrated in both time and frequency. We develop a new discrete uncertainty principle and use it to demonstrate a fundamental limitation of the demixing problem, and to provide a fast method of detecting sparse signals. The second half of this thesis focuses on a specific application of compressed sensing: hyperspectral imaging. Conventional hyperspectral platforms require long exposure times, which …
The Riemann Curvature Tensor, Its Invariants, And Their Use In The Classification Of Spacetimes,
2015
Utah State University
The Riemann Curvature Tensor, Its Invariants, And Their Use In The Classification Of Spacetimes, Jesse Hicks
Presentations and Publications
The equivalence problem in general relativity is to determine whether two solutions of the Einstein field equations are isometric. Petrov has given a classification of metrics according to their isometry algebras. This talk discusses the use of the Petrov classification scheme, together with the use of scalar curvature invariants, to address the equivalence problem. These are the slides for a presentation at the Mathematics Association of America Spring 2015 conference at Brigham Young University.
Alan Turing: The Man Behind The Machine,
2015
University of the Pacific
Alan Turing: The Man Behind The Machine, Christopher D. Goff
College of the Pacific Faculty Presentations
No abstract provided.
Computational Modeling Of Wave Propagation In Metamaterials,
2015
Brigham Young University
Computational Modeling Of Wave Propagation In Metamaterials, Shue-Sum Chow
Journal of Undergraduate Research
The project is concerned with the study of wave propagation in metamaterials. We recall the work plan described in the original proposal and provide an evaluation of the academic objectives.
Labeling And Comparison Of Isomeric Tree-Like Polyphenyl Systems,
2015
Georgia Southern Universtiy
Labeling And Comparison Of Isomeric Tree-Like Polyphenyl Systems, Tabitha Williford, Alex Collins, Shainaz Landge, Hua Wang
Mathematical Sciences: Faculty Publications
Tree-like polyphenyl systems form an important class of compounds in chemistry, in particular material science and polymers. The importance can be seen in LEDs, transmitters, and electronics. In recent years, many extremal results regarding such systems under specific constraints have been reported. More specifically are the sub-categories of such systems with extremal Wiener indices. In this article, we provide a labelling of the vertices on each hexagon (i.e., the corresponding benzene ring), which facilitates the illustration of a treelike polyphenyl system with its corresponding tree structure. This approach helps to characterize the extremal tree-like polyphenyl systems with respect to the …
On Pi Day, A Serving Of Why We Need Math,
2015
Gettysburg College
On Pi Day, A Serving Of Why We Need Math, Darren B. Glass
Math Faculty Publications
Today, our Facebook feeds will be peppered with references to Pi Day, a day of celebration that has long been acknowledged by math fans and that Congress recognized in 2009. Every high schooler learns that pi is the ratio of the circumference of a circle to its diameter and that its decimal expansion begins 3.14 and goes on infinitely without repeating. [excerpt]
Defining The Transpose Group In Landau-Ginzburg Mirror Symmetry,
2015
Brigham Young University
Defining The Transpose Group In Landau-Ginzburg Mirror Symmetry, Lisa Bendall, Dr. Tyler Jarvis
Journal of Undergraduate Research
Introduction. Mirror symmetry is a phenomenon first observed in theoretical physics, which has garnered interest among mathematicians. The Landau-Ginzburg mirror symmetry conjecture proposes two algebraic structures which are isomorphic, or in some sense “mirror” each other. These structures are built from polynomials and corresponding symmetry groups.
Why It Is Important To Precisiate Goals,
2015
The University of Texas at El Paso
Why It Is Important To Precisiate Goals, Olga Kosheleva, Vladik Kreinovich, Hung T. Nguyen
Departmental Technical Reports (CS)
After Zadeh and Bellman explained how to optimize a function under fuzzy constraints, there have been many successful applications of this optimization. However, in many practical situations, it turns out to be more efficient to precisiate the objective function before performing optimization. In this paper, we provide a possible explanation for this empirical fact.
Simple Linear Interpolation Explains All Usual Choices In Fuzzy Techniques: Membership Functions, T-Norms, T-Conorms, And Defuzzification,
2015
The University of Texas at El Paso
Simple Linear Interpolation Explains All Usual Choices In Fuzzy Techniques: Membership Functions, T-Norms, T-Conorms, And Defuzzification, Vladik Kreinovich, Jonathan Quijas, Esthela Gallardo, Caio De Sa Lopes, Olga Kosheleva, Shahnaz Shahbazova
Departmental Technical Reports (CS)
Most applications of fuzzy techniques use piece-wise linear (triangular or trapezoid) membership functions, min or product t-norms, max or algebraic sum t-conorms, and centroid defuzzification. Similarly, most applications of interval-valued fuzzy techniques use piecewise-linear lower and upper membership functions. In this paper, we show that all these choices can be explained as applications of simple linear interpolation.
Geometrization Conditions For Perfect Fluids, Scalar Fields, And Electromagnetic Fields,
2015
Utah State University
Geometrization Conditions For Perfect Fluids, Scalar Fields, And Electromagnetic Fields, Charles G. Torre, Dionisios Krongos
Presentations and Publications
Rainich-type conditions giving a spacetime “geometrization” of matter fields in general relativity are reviewed and extended. Three types of matter are considered: perfect fluids, scalar fields, and elec- tromagnetic fields. Necessary and sufficient conditions on a spacetime metric for it to be part of a perfect fluid solution of the Einstein equa- tions are given. Formulas for constructing the fluid from the metric are obtained. All fluid results hold for any spacetime dimension. Ge- ometric conditions on a metric which are necessary and sufficient for it to define a solution of the Einstein-scalar field equations and for- mulas for constructing …
Sandpiles, Spanning Trees, And Plane Duality,
2015
Gettysburg College
Sandpiles, Spanning Trees, And Plane Duality, Melody Chan, Darren B. Glass, Matthew Macauley, David Perkinson, Caryn Werner, Qiaoyu Yang
Math Faculty Publications
Let G be a connected, loopless multigraph. The sandpile group of G is a finite abelian group associated to G whose order is equal to the number of spanning trees in G. Holroyd et al. used a dynamical process on graphs called rotor-routing to define a simply transitive action of the sandpile group of G on its set of spanning trees. Their definition depends on two pieces of auxiliary data: a choice of a ribbon graph structure on G, and a choice of a root vertex. Chan, Church, and Grochow showed that if G is a planar ribbon graph, it …
Ua66 Ogden College Of Science & Engineering Newsletter,
2015
Western Kentucky University
Ua66 Ogden College Of Science & Engineering Newsletter, Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.
Lai’S Conditions For Spanning And Dominating Closed Trails,
2015
Butler University
Lai’S Conditions For Spanning And Dominating Closed Trails, Wei-Guo Chen, Zhi-Hong Chen, Mei Lu
Scholarship and Professional Work - LAS
No abstract provided.
Generalized Least-Squares Regressions V: Multiple Variables,
2015
CUNY Kingsborough Community College
Generalized Least-Squares Regressions V: Multiple Variables, Nataniel Greene
Publications and Research
The multivariate theory of generalized least-squares is formulated here using the notion of generalized means. The multivariate generalized least-squares problem seeks an m dimensional hyperplane which minimizes the average generalized mean of the square deviations between the data and the hyperplane in m + 1 variables. The numerical examples presented suggest that a multivariate generalized least-squares method can be preferable to ordinary least-squares especially in situations where the data are ill- conditioned.
